Ceva's Theorem: Applications & Examples


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question 1 of 3

What is the cevian of a triangle?

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1. Fill in the blanks: Ceva's theorem states that if we have a triangle ABC and points D, E, and F are on the sides of the triangle, then the cevians AD, BE, and CF intersect at a single point if and only if
  • |BD| × |CE| × _____ = |DC| × |EA| × _____

2. In the image, CE has length 8 units, BD has length 7 units, and AF has length 6 units. Find |DC| × |EA| × |FB|.

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About This Quiz & Worksheet

Evaluate your understanding of Ceva's theorem with these assessments. Topics include the cevian of a triangle and an explanation of what's stated in Ceva's theorem.

Quiz & Worksheet Goals

For the quiz, you'll be required to answer questions on the following:

  • BD with a length of 7 units, AF with a length of 6 units
  • Sets of lengths for sides EA, DC and FB
  • The use of Ceva's theorem to find the length of EA

Skills Practiced

  • Defining key concepts - make sure you can accurately define Ceva's theorem
  • Information recall - access the knowledge you've gained regarding the cevian of a triangle
  • Problem solving - use your acquired knowledge to solve Ceva's theorem practice problems

Additional Learning

Learn more about the theorem with the lesson entitled Ceva's Theorem: Applications & Examples. These specific topics will be covered:

  • An example of the cevian of a triangle
  • Application of Ceva's theorem
  • Information that can be learned with the theorem